Question

Find a quadratic polynomial the sum and product of whose zeroes are 3+√5 and 3-√5

Answer 1

I think
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Answer 2

$sum = \alpha + \beta = 3 + \sqrt{5}$

$product = \alpha \beta = 3 - \sqrt{5}$

$polynomial = p(x) = x ^{2} - ( \alpha + \beta )x + \alpha \beta$

$p(x) = x ^{2} - (3 + \sqrt{5}) x+ (3 - \sqrt{5)}$

So,☝☝☝☝☝☝☝☝this is the quadratic polynomial....

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